Find the slope of the line that passes through the points, A(0,2) and B(4, -1).

Answers

Answer 1

Answer:

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4  =

-0.75

Step-by-step explanation:

Hope this helped!!!!

Answer 2

Answer:

y=(-3/4)+2

Step-by-step explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]

We will plug in the values of the points given and find that:

slope (m)= [tex]\frac{-1-2}{4-0}[/tex]

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

[tex]y-y1=m(x-x1)[/tex]

Plugging in values:

[tex]y-2=(\frac{-3}{4})(x-0)[/tex]

after isolating y we find that the equation is:

[tex]y=\frac{-3}{4} x+2[/tex]

Hope this helps!

-HM


Related Questions

plz refer and no nonsense

Answers

Answer:

132

Step-by-step explanation:

area of square =4l

= 4× 11

=44

total length =44×3

=132m

Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
O B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly
D. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.

Answers

Answer:

it si this

Step-by-step explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

Answer: A.

Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly

I got this right so don't let anyone tell you different  

A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables

Answers

Answer:

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Given that:

Cost of 12 inch cheese pizza = $8

Each additional inch cost $2.50

Each additional topping cost $1.25

The cost equation :

Let x = additional topping ; y = diameter of pizza, cost of pizza = C

C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.

Answers

Answer:

Step-by-step explanation:

x           y           Difference [tex](y_2-y_1)[/tex]

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{25-15}{2-1}[/tex]

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

[tex]y_1[/tex] = 10(5) + 5 = 55

[tex]y_2[/tex] = 10(6) + 5 = 65

[tex]y_3[/tex] = 10(7) + 5 = 75

help asap do all these show work posting more after this one

Answers

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4

Answers

Y- -1/4 = -4(x+8) thus should be the answer

An electrician charges a base fee of $70 plus $50 for each hour of work. The minimum the electricin charges is $170. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function. The domain values are , , , and . (Blanks 1 - 4)

The domain is the (student age/number of pets) . (Blank 5)

The range values are , , , and . (Blanks 6 - 9)

The range is the (student age/number of pets) . (Blank 10)

This relation (is / is not) a function.

Answers

I don’t really know why but yeha

Solve for q.
-0.07(q - -6) + -4.67 = -5.3

Y’all please help :)

Answers

-0.07(q- -6) + -4.67 = -5.3

Distribute the -0.07

-0.07q + -0.42 + -4.67 = -5.3

Combine like terms

-0.42 + -4.67= -5.09

-0.07 - 5.09= -5.3

Add 5.09 to both sides

-0.07q= -0.21

Divide both sides by -0.07

Q= 3


3644-878 x 4 = a

a+54-21=b

a =
b =

Answers

the answer is supposed to be 132 at the most of a

for b it is 165

Answer:

a=132

b=165

Step-by-step explanation:

,

Sara walks at a constant speed. She walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for her to walk a distance of d miles? *
t = (1/15)d
t = 15d
t = d + 15
t = d - 15

Answers

Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

Find the point of intersection by graphing each of the following lines: x+y=4
x+2y=6

Answers

Answer:

Point of intersection is (6,0)

Step-by-step explanation:

What is the solution of 13 = t + 7 t​

Answers

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625

Suntract ( p-q)-(p+q)​

Answers

The answer is -2q

hope this helps <3

The answer to the question is -2q

IF THE SUM CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)​

Answers

Answer:

[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]

Step-by-step explanation:

Let x , x+2 and x+4 be the consecutive numbers

Given Condition:

x + x + 2 + x + 4 = 45

3x + 6 = 45

Subtract 6 to both sides

3x = 45 - 6

3x = 39

Dividing both sides by 3

x = 13

So,

The numbers are:

x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

let the number be n

n+n+2+n+4 =45

3n+6=45

3n+6+6=45-6

        3n/3=39/3

             n=13

n=13

n+2=13+2

      =15

n+4=13+4

     =17

13,15,17

Step-by-step explanation:

pliz mark brainliest

Which statement best explains whether the table represents a linear or nonlinear function?

It is a linear function because there is a constant rate of change in both the input and output values.

It is a nonlinear function because there is a constant rate of change in both the input and output values.

It is a linear function because the input values are decreasing.

It is a nonlinear function because the input values are increasing.



Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2

Answers

Answer:

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation:

Given table is:

Input (x) Output (y)

−2 7

−5 4

−8 1

−11 −2

It can clearly be observed that the values for x and y are changing with the same rate.

In case of x, -3 is added to the previous input to get the next input.

Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.

Hence,

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

PLEASE HELP

If this is the graph of f(x)=a^(x+h)+k then.

Answers

Answer:

a

Step-by-step explanation:

Answer: 0<a<1

Step-by-step explanation:

Which expression shows the sum of the polynomials with like terms grouped together?
10x’y+2xy2 - 4x2 - 4x^y
o [(-4x) + (-4x²y) + 10x?y] + 2xy?
o 10x+y+2xy?= [(-4x2)+(-4x²y)]
• (-4x2) + 2xy +[10x²y+ (-4x?y)]
o (10x+y+2xy?+ (-4x+y)]+(-4x)

Answers

Answer:

C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )

Step-by-step explanation:

I got it right on the test :3 UNUS ANNUS

Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.

What is Polynomial?

Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.

We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.

Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]

Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].

So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].

Hence option (3) is correct.

Learn more about Polynomial here -

https://brainly.com/question/1600696

#SPJ2

Please help... Question is in the picture

Answers

Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

Im givin brainliest and 100 points to the first person who answers this
The equation I equals P times r t gives the amount of interest a bank account receives after a certain period. An individual invests $6,000 into an account that receives 7% interest. How much time has passed if the amount of interest is $3,360?

Answers

Answer:

8 years

Step-by-step explanation:

With Simple interest you can calculate the annual interest at 6000x.07=$420 annual interest

Take the Total Interest $3360/$420= 8 Years

PLEASE HELP ME!!!!!
This is due tomorrow and I am struggling. I don’t understand anything my math teacher teaches. I’m online cause I don’t like going to school and Im trying to make the best of it. I never thought this year I would have a math teacher like this. Last year my math teacher was such a good teacher. I passed every test in her class it was a piece of cake. But this year I’m not so lucky. So I’m asking if anyone can HELP ME PLEASE!!!! Oh and as a reminder there’s two math problems. U going to have to click it cause it’s an photo.

Answers

Step-by-step explanation:

2.

(2 + √3)(2 - √3)

x² - y² = (x + y)(x - y)x = 2, y= √3x² = 2² = 4y² = √3² = 3(2 + √3)(2 - √3) = 4 - 3 = 1

3.

(6 + √5)/(6 - √5)

Multiply both numerator and denominator by (6 + √5) to simplify(6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31(6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5(6 + √5)/(6 - √5)  = (41 + 12√5)/31

Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assume all variables are positive) ​

Answers

Answer:

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Step-by-step explanation:

[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]

First rule I'm going to use is the quotient rule:

[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]

[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]

Secondly, I'm going to rewrite the radical.

[tex]\sqrt{x}=x^\frac{1}{2}[/tex]

[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]

Third, I'm going to use the product rule on the first term:

[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]

[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]

Fourth, I'm going to use power rule for both of the last two terms:

[tex]\log_b(m^r)=r\log_b(m)[/tex]

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Shyryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read. Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer:

[tex]y=-52x+480[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The event into consideration is the number of pages of a book left to read by Shyryia.

We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substituting the given points:

[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]

[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]

Operating:

[tex]y-402=-52(x-1.5)[/tex]

[tex]\mathbf{y=-52x+480}[/tex]

Answer:

-52x+480.

Step-by-step explanation:

I took the test, definitely correct

What are some rules you need to know when solving absolute value inequalities and equations?

Answers

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?
Group of answer choices

A-$18,600

B-$20,600

C-$206,000

D-$186,000

Answers

answer is A. $18,600 because $620,000 × 3% = $18,600

pretty sure its A.

Brainliest?... thx

A) Side measures of the triangle are given. Apply the Pythagorean Inequality to
classify each triangle as Acute, Obtuse or Right triangle.
1) 15 yd ; 8 yd ; 17 yd
2) 10 in ; 9 in; 5 in
3) 18 ft; 11 ft; 14 ft
4) 17 yd; 13 yd ; 20 yd
Pls solve all it due soon plsssssssssss

Answers

Answer:

1 obtuse

2 acute and

3 acute and

4 obtuse  

Step-by-step explanation:

In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?

A. ) 1:4
B. ) 1:5
C. ) 1:25
D. ) 3:10

Answers

Answer:

D) 3:10

Step-by-step explanation:

Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.

SOMEONE HELP ILL KISS U

Answers

Answer:

0, 5x

Step-by-step explanation:

0 in the first box

5x in the second box

20. If g(x) = x^3+9/3x evaluate g(-3)​

Answers

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

HELP PLZ!

Which fraction is equal to 0.7?

A) 7/99
B.) 7/11
C.) 7/10
D.) 7/9

Which fraction is equal to 0.54?

A.) 27/50
B.) 49/90
C.) 6/11
D.) 5/4

How can the decimal 0.57 be written as a fraction?

A.) 19/33
B.) 57/100
C.) 56/99
D.) 577/999

Answers

Answer:

the first one is A the second one D the third one B

Step-by-step explanation:

hope this will help you

Answer:

Which fraction is equal to 0.7?

C.) 7/10

Which fraction is equal to 0.54?

A.) 27/50

How can the decimal 0.57 be written as a fraction?

B.) 57/100

Step-by-step explanation:

Hope this helps and have a great day :)
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